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3 years ago

Given ABE is an isosceles triangle with ZABE - 100° and AMNP is an isosceles triangle with one base angle measuring 40°. Are

Mathematics

1 answer:

MrMuchimi3 years ago

8 0

Two triangle ABE and MNP are similar by AA criterion

Step-by-step explanation:

Given that ABE is an isosceles Δ with ABE= 100°

this means that some of the other two angles must be =180°-100°=80°

Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.

∠BAC=∠ACB=40°

In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning

the angle measures come out to be 40°,40° and 100°

Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"

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